Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities
Debashis Ghoshal, Camillo Imbimbo, Sunil Mukhi
Abstract
We investigate Landau-Ginzburg string theory with the singular superpotential X-1 on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory and from the analysis of matter Landau-Ginzburg systems, and consistency requirements. Higher-genus amplitudes decompose as a sum of contributions from the bulk and the boundary of moduli space. These amplitudes generate the W-infinity algebra.
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